Introduction: Among those caring for people with dementia (PwD) at home, more than 60% feel a caregiver burden (CB), and one in three are depressed. Reducing feelings of burden and depressive states in caregiving families will improve the living environment for PwD. However, very few studies have focused on effective methods and reducing feelings of burden and depressive states of caregivers. Thus, using data from a previous study, we aimed to determine the factors associated with perceived CB and depressive states experienced by caregivers for PwD with behavioral and psychological symptoms of dementia (BPSD) at home. Methods: We performed single regression analysis on 285 participants’ data to determine the association between each item and the Zarit Caregiver Burden Interview and Center for Epidemiologic Studies-Depression Scale scores. We performed multiple regression analysis with variables considered in the single regression analysis as independent variables. Results: Severity of BPSD, caregivers’ subjective health status (SHS), time of caregiving, and depressive states were related to CB, and caregivers’ SHS and CB were related to depressive states. Conclusions: Similar to previous studies, we identified an association between family caregivers’ perceived CB and BPSD in PwD. Additionally, we found that caregivers’ SHS is commonly associated with both perceived CB and depressive states. This is a new finding. Our results suggest that interventions focusing on family caregivers’ health status can help not only to reduce family caregivers’ CB and depressive states but also stabilize patients’ symptoms and provide home-based care for a longer time.